QUESTION 3 Suppose f: R→ R satisfies |f(x)| = |x| for all X. Which of the following is true? Of must be differentiable at 0. Some, but not all, such f are differentiable at 0. If we assume that f is continuous at 0, then it necessarily follows that f is differentiable at 0. O Some, but not all, such f are differentiable at O. If we assume that f is continuous at 0, it does not necessarily follow that f is differentiable at 0. O f must not be differentiable at 0.

QUESTION 3 Suppose f: R→ R satisfies |f(x)| = |x| for all X. Which of the following is true? Of must be differentiable at 0. Some, but not all, such f are differentiable at 0. If we assume that f is continuous at 0, then it necessarily follows that f is differentiable at 0. O Some, but not all, such f are differentiable at O. If we assume that f is continuous at 0, it does not necessarily follow that f is differentiable at 0. O f must not be differentiable at 0.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter6: Applications Of The Derivative

Section6.CR: Chapter 6 Review

Problem 2CR

See similar textbooks